{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.1126005361930295\n",
      "0.33131313131313134\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 数据\n",
    "data = [[[76.0, 64, 64.0], [28.0, 30, 28.0], [30.0, 41, 32.0], [70.0, 58, 52.0], [74.0, 104, 82.0], [20.0, 36, 35.0], [58.0, 60, 56.0], [40.0, 34, 32.0], [40.0, 53, 48.0], [42.0, 41, 40.0], [41.0, 45, 42.0], [42.0, 43, 41.0], [52.0, 58, 56.0], [24.0, 28, 26.0], [58.0, 46, 46.0], [46.0, 42, 42.0], [25.0, 30, 28.0], [82.0, 46, 46.0], [15.0, 24, 20.0], [60.0, 30, 30.0], [24.0, 28, 27.0], [108.0, 108, 108.0], [26.0, 34, 32.0], [41.0, 44, 36.0], [40.0, 40, 40.0], [54.0, 55, 52.0], [29.0, 41, 33.0], [68.0, 72, 72.0], [31.0, 34, 28.0], [34.0, 38, 37.0], [22.0, 29, 27.0], [38.0, 37, 36.0], [30.0, 37, 35.0], [23.0, 27, 22.0], [44.0, 32, 29.0], [26.0, 32, 28.0], [40.0, 46, 40.0], [66.0, 74, 70.0], [36.0, 40, 38.0], [44.0, 41, 35.0], [114.0, 68, 62.0], [50.0, 41, 40.0], [66.0, 42, 42.0], [15.0, 18, 14.0], [21.0, 28, 20.0], [30.0, 31, 26.0], [42.0, 35, 34.0], [32.0, 31, 27.0]], [[16.0, 34, 30.0], [36.0, 20, 18.0], [42.0, 42, 42.0], [18.0, 22, 22.0], [14.0, 20, 17.0], [30.0, 40, 40.0], [32.0, 28, 22.0], [30.0, 18, 16.0], [46.0, 36, 36.0], [28.0, 24, 24.0], [17.0, 21, 18.0], [32.0, 20, 20.0], [48.0, 35, 34.0], [24.0, 26, 20.0], [26.0, 27, 26.0], [21.0, 28, 26.0], [24.0, 25, 21.0], [30.0, 26, 26.0], [24.0, 32, 28.0], [26.0, 42, 42.0], [22.0, 25, 24.0], [24.0, 24, 22.0], [34.0, 23, 20.0], [26.0, 26, 24.0], [20.0, 18, 18.0], [21.0, 25, 23.0], [32.0, 24, 23.0], [24.0, 28, 28.0], [36.0, 32, 32.0], [28.0, 35, 32.0], [36.0, 24, 21.0], [30.0, 33, 32.0], [17.0, 26, 25.0], [13.0, 19, 16.0], [26.0, 22, 21.0], [23.0, 26, 18.0], [24.0, 23, 22.0], [44.0, 36, 30.0], [34.0, 30, 27.0], [26.0, 20, 18.0], [20.0, 24, 24.0], [26.0, 28, 26.0], [20.0, 30, 27.0], [25.0, 37, 34.0], [14.0, 19, 15.0], [36.0, 30, 30.0], [52.0, 35, 34.0], [36.0, 42, 42.0]], [[32.0, 25, 25.0], [32.0, 28, 24.0], [24.0, 24, 24.0], [18.0, 22, 19.0], [20.0, 21, 20.0], [14.0, 21, 16.0], [50.0, 27, 22.0], [14.0, 18, 13.0], [48.0, 34, 34.0], [22.0, 21, 20.0], [28.0, 24, 22.0], [22.0, 29, 24.0], [36.0, 19, 16.0], [26.0, 21, 18.0], [15.0, 20, 18.0], [34.0, 22, 22.0], [26.0, 20, 18.0], [36.0, 45, 42.0], [14.0, 17, 13.0], [34.0, 24, 24.0], [22.0, 23, 18.0], [22.0, 18, 18.0], [26.0, 22, 22.0], [18.0, 22, 18.0], [20.0, 21, 16.0], [20.0, 23, 18.0], [16.0, 17, 14.0], [38.0, 40, 40.0], [30.0, 30, 26.0], [22.0, 23, 20.0], [24.0, 25, 20.0], [27.0, 24, 22.0], [38.0, 22, 22.0], [12.0, 16, 16.0], [18.0, 16, 14.0], [21.0, 20, 20.0], [16.0, 21, 18.0], [22.0, 20, 18.0], [22.0, 22, 22.0], [16.0, 18, 16.0], [16.0, 22, 20.0], [25.0, 22, 18.0], [28.0, 22, 20.0], [19.0, 21, 18.0], [28.0, 18, 18.0], [19.0, 22, 22.0], [20.0, 37, 34.0], [24.0, 40, 36.0]], [[14.0, 16, 14.0], [18.0, 21, 18.0], [18.0, 19, 17.0], [16.0, 24, 22.0], [30.0, 20, 16.0], [28.0, 28, 24.0], [22.0, 17, 16.0], [26.0, 14, 12.0], [28.0, 23, 20.0], [17.0, 23, 20.0], [11.0, 16, 12.0], [16.0, 16, 13.0], [24.0, 16, 16.0], [20.0, 19, 14.0], [24.0, 16, 15.0], [26.0, 25, 19.0], [54.0, 50, 50.0], [20.0, 23, 20.0], [18.0, 19, 15.0], [14.0, 22, 22.0], [18.0, 26, 22.0], 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[22.0, 14, 10.0], [18.0, 19, 16.0], [18.0, 15, 12.0], [24.0, 17, 16.0], [20.0, 17, 16.0], [36.0, 14, 13.0], [15.0, 11, 10.0], [21.0, 17, 12.0], [24.0, 14, 11.0], [14.0, 12, 10.0], [28.0, 17, 16.0], [20.0, 13, 12.0], [25.0, 19, 16.0], [18.0, 18, 18.0], [22.0, 17, 16.0], [22.0, 11, 10.0], [30.0, 22, 20.0], [22.0, 16, 15.0], [22.0, 14, 14.0], [28.0, 14, 14.0], [14.0, 18, 18.0], [14.0, 12, 12.0], [14.0, 20, 18.0], [15.0, 14, 11.0], [18.0, 12, 12.0]], [[12.0, 13, 11.0], [19.0, 13, 10.0], [25.0, 16, 14.0], [17.0, 19, 19.0], [14.0, 13, 12.0], [17.0, 18, 12.0], [24.0, 17, 14.0], [22.0, 16, 16.0], [22.0, 15, 14.0], [15.0, 16, 16.0], [15.0, 20, 20.0], [20.0, 12, 10.0], [18.0, 16, 14.0], [11.0, 12, 10.0], [24.0, 14, 14.0], [14.0, 15, 12.0], [24.0, 14, 12.0], [22.0, 13, 10.0], [16.0, 16, 14.0], [38.0, 13, 11.0], [11.0, 12, 10.0], [22.0, 21, 18.0], [44.0, 24, 24.0], [28.0, 20, 20.0], [18.0, 16, 16.0], [13.0, 14, 12.0], [22.0, 20, 20.0], [30.0, 13, 10.0], [17.0, 16, 16.0], [28.0, 14, 12.0], [17.0, 15, 12.0], [30.0, 20, 14.0], [22.0, 13, 12.0], [10.0, 14, 14.0], [12.0, 12, 8.0], [18.0, 14, 10.0], [28.0, 16, 16.0], [14.0, 12, 12.0], [20.0, 15, 12.0], [10.0, 15, 12.0], [25.0, 15, 12.0], [16.0, 19, 18.0], [20.0, 11, 8.0], [22.0, 16, 15.0], [26.0, 16, 16.0], [24.0, 13, 12.0], [34.0, 17, 16.0], [20.0, 22, 20.0]]]\n",
    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "num_nodes = list(range(20, len(data) * 10 + 20, 10))\n",
    "\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "print((rpd_gd[19] - rpsp[19]) / rpd_gd[19])\n",
    "print((sp_psp[19] - rpsp[19]) / sp_psp[19])\n",
    "\n",
    "# print((sp_psp_mean - rpsp_mean) / sp_psp_mean)\n",
    "# print((rpd_gd_mean - rpsp_mean) / rpd_gd_mean)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "# plt.plot(num_nodes, sp_gd, label='shortest_path + greedy_ps_provision', marker='p')\n",
    "plt.plot(num_nodes, sp_psp, label='SP+PSP', marker='o')\n",
    "plt.plot(num_nodes, rpd_gd, label='RPD+GD', marker='s')\n",
    "plt.plot(num_nodes, rpsp, label='RPSP-HE', marker='^')\n",
    "plt.xlabel('Number of Nodes')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('sd_num=50, alpha=0.35')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_node_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
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